A triangle with an area of 45.5 cm has a base that measures 14 cm. Find the height of the triangle.

The height of the triangle is 6.5cm

Step-by-step explanation:

First of all we need to use the formula to calculate the area of a triangle:

a = area = 45.5 cm²

b = base = 14 cm

h = height

a = (b * h) / 2

we replace with the known values

45.5cm² = (14cm * h) / 2

45.5cm² * 2 = 14cm * h

91cm² / 14cm = h

6.5cm = h

The height of the triangle is 6.5cm